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Interior Transmission Eigenvalues for Anisotropic Media

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • A. Kleefeld

    (Forschungszentrum Jülich GmbH, Supercomputing Centre)

  • D. Colton

    (University of Delaware, Department of Mathematical Sciences)

Abstract

In this paper, the numerical calculation of interior transmission eigenvalues for anisotropic media in two dimensions is considered. This is achieved by reformulating the original problem into a system of boundary integral equations. The resulting nonlinear eigenvalue problem is solved with a recent method using complex-valued contour integrals. Numerical results show that one is also able to calculate complex-valued interior transmission eigenvalues, although the existence of those is still open.

Suggested Citation

  • A. Kleefeld & D. Colton, 2017. "Interior Transmission Eigenvalues for Anisotropic Media," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 0, pages 139-147, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59384-5_12
    DOI: 10.1007/978-3-319-59384-5_12
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